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Tilting in $Q$-shaped derived categories

math.RT · 2024-11-18 · accept · novelty 7.0

For each self-injective graded algebra Λ with degree-zero part of finite global dimension, the Q-shaped derived category of any algebra A is equivalent to the ordinary derived category of the endomorphism ring Γ tensored with A.

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  • Tilting in $Q$-shaped derived categories math.RT · 2024-11-18 · accept · none · ref 2

    For each self-injective graded algebra Λ with degree-zero part of finite global dimension, the Q-shaped derived category of any algebra A is equivalent to the ordinary derived category of the endomorphism ring Γ tensored with A.